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18729911088 = 2432791920219
BaseRepresentation
bin10001011100011000…
…111100001100110000
31210100022122001210200
4101130120330030300
5301324324123323
612334314555200
71232100421530
oct213430741460
953308561720
1018729911088
117a41601469
123768738b00
1319c6513335
14c9974d4c0
157494d8443
hex45c63c330

18729911088 has 120 divisors (see below), whose sum is σ = 59974137600. Its totient is φ = 5345315712.

The previous prime is 18729911077. The next prime is 18729911089. The reversal of 18729911088 is 88011992781.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18729911089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916243 + ... + 936461.

It is an arithmetic number, because the mean of its divisors is an integer number (499784480).

Almost surely, 218729911088 is an apocalyptic number.

18729911088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18729911088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29987068800).

18729911088 is an abundant number, since it is smaller than the sum of its proper divisors (41244226512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18729911088 is a wasteful number, since it uses less digits than its factorization.

18729911088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21159 (or 21150 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 18729911088 in words is "eighteen billion, seven hundred twenty-nine million, nine hundred eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 919 1008 1838 2757 3676 5514 6433 7352 8271 11028 12866 14704 16542 19299 20219 22056 25732 33084 38598 40438 44112 51464 57897 60657 66168 77196 80876 102928 115794 121314 132336 141533 154392 161752 181971 231588 242628 283066 308784 323504 363942 424599 463176 485256 566132 727884 849198 926352 970512 1132264 1273797 1455768 1698396 2264528 2547594 2911536 3396792 5095188 6793584 10190376 18581261 20380752 37162522 55743783 74325044 111487566 130068827 148650088 167231349 222975132 260137654 297300176 334462698 390206481 445950264 520275308 668925396 780412962 891900528 1040550616 1170619443 1337850792 1560825924 2081101232 2341238886 2675701584 3121651848 4682477772 6243303696 9364955544 18729911088